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Finding the Fourth Proportional to 806.04, 1,208.67 and 481.32

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Solution

The fourth proportional to 806.04, 1,208.67 and 481.32 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.04 : 1,208.67 = 481.32 : x
  2. Step 2: Convert to fraction form
    806.04/1,208.67 = 481.32/x
  3. Step 3: Cross multiply
    806.04x = 1,208.67 × 481.32
  4. Step 4: Simplify right side
    806.04x = 581,757.04
  5. Step 5: Solve for x
    x = 581,757.04/806.04
  6. Step 6: Final answer
    x = 721.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.